Banach空间上算子代数的超自反性

数学季刊 ›› 2005, Vol. 20 ›› Issue (2): 178-184.

Banach空间上算子代数的超自反性

Department of Basic Course, Hubei Three Groges School of Science and Technology, Yichang 443100, China

收稿日期:2002-11-18 出版日期:2005-06-30 发布日期:2024-01-23
作者简介:YUAN Guo-chang(1953-),male,Yichang,Hubei,a senior lecturer of Hubei Three Groges School of Science and Technology,engages in operator theory.

Hyperreflexivity of Operator Algebras of the Banach Space

Department of Basic Course, Hubei Three Groges School of Science and Technology, Yichang 443100, China

Received:2002-11-18 Online:2005-06-30 Published:2024-01-23
About author:YUAN Guo-chang(1953-),male,Yichang,Hubei,a senior lecturer of Hubei Three Groges School of Science and Technology,engages in operator theory.

摘要/Abstract

摘要： In this paper, we introduced the hyperreflexivity of operator algebra A on’Banach space, discussed the necessary, and sufficient condition that A is hyperreflexive, the estimate of hyperreflexive constant and the invariance of hyperreflexivety under the similarity transformation.

关键词: Banach space, hyperrefexive, operator algebra, similarity transformation

Abstract: In this paper, we introduced the hyperreflexivity of operator algebra A on’Banach space, discussed the necessary, and sufficient condition that A is hyperreflexive, the estimate of hyperreflexive constant and the invariance of hyperreflexivety under the similarity transformation.

Key words: Banach space, hyperrefexive, operator algebra, similarity transformation

中图分类号:

O177.5

袁国常, 覃黎明. Banach空间上算子代数的超自反性[J]. 数学季刊, 2005, 20(2): 178-184.

YUAN Guo-chang, QIN Li-ming. Hyperreflexivity of Operator Algebras of the Banach Space[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(2): 178-184.

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